Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariable \(H\)-function

DOI10.1007/BF02829688zbMath1010.33005OpenAlexW2080754210MaRDI QIDQ1860615

R. C. Soni, Deepika Singh

Publication date: 12 May 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829688

zbMATH Keywords

Hermite polynomialsLaguerre polynomialsfractional derivativeWhittaker functionsmultivariable \(H\)-functiongeneral class of polynomial

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Other hypergeometric functions and integrals in several variables (33C70) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays ⋮ About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory

Cites Work

• Fractional integral formulae involving the multivariable H-function and a general class of polynomials
• Fractional derivatives of the H-function of several variables
• The integration of certain products of the multivariable H-function with a general class of polynomials
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional derivatives of certain generalized hypergeometric functions of several variables
• Fractional integral formulae involving a general class of polynomials and the multivariable H-function
• The G and H Functions as Symmetrical Fourier Kernels
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